I'm puzzled by one thing concerning Laurent series.(adsbygoogle = window.adsbygoogle || []).push({});

If I have a series, for example f(z) =(z*sinz)/(2z-1) and I'm supposed to make a laurent series of f about the point z=1/2.

Now, what would the inner and outer radius of convergence be?

I would say that since z=1/2 is a pole, the inner radius is zero and the outer radius infinite?

If not, then how can I see the radius of convergence of a Laurent series?

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# Concerning Laurent series

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